Pairwise comparison - "Comparison of Bonferroni Method with Scheffé and Tukey Methods No one comparison method is uniformly best - each has its uses . If all pairwise comparisons are of interest, Tukey has the edge. If only a subset of pairwise comparisons are required, Bonferroni may sometimes be better.

 
Pairwise comparison matrix A is inconsistent because a 12 × a 23 × a 34 = 2 × 2 × 2 = 8 ≠ 4 = a 14. But it remains unknown whether this deviation can be tolerated or not. The current paper aims to provide thresholds of acceptability for pairwise comparison matrices with missing entries. We want to follow the concept of Saaty as closely as .... San jose ca 10 day weather forecast

Figure 1 - Pairwise MW tests. Note that cell AN6 contains the formula =MWTEST (B4:B13,C4:C13) and cell AN12 (for the exact test) contains the worksheet formula =MW_EXACT (B4:B13,C4:C13). Following either of these tests, the Multiple Test data analysis tool can be used to determine which pairwise comparisons are significant. A number of ...There is some debate as to whether pairwise comparisons are appropriate when the overall one-way ANOVA is not statistically significant. Some argue that if the overall ANOVA is not significant then pairwise comparisons are not necessary. Others argue that if the pairwise comparisons were planned before the ANOVA was conducted (i.e., "a priori ...The multcompare function performs multiple pairwise comparisons of the group means, or treatment effects. The options are Tukey’s honestly significant difference criterion (default option), the Bonferroni method, Scheffe’s procedure, Fisher’s least significant differences (LSD) method, and Dunn & Sidák’s approach to t -test. Synonyms for Pairwise in Free Thesaurus. Antonyms for Pairwise. 66 synonyms for pair: set, match, combination, doublet, matched set, two of a kind, couple, brace, duo ...process of comparing two entities to determine which is preferred. In more languages. Spanish. Comparación por pares. No description defined.Pairwise comparisons are a common choice for ranking and scale inference. However, one of the drawbacks of pairwise comparisons is a large number of possible pairings. So the natural question is — how can we minimise the number of comparisons while gaining as much information as possible about the relative position of the entities on a scale ...Besides the range and the labels of the similarity scale, the pairwise rating task used by Richie et al. also differed from that of Study 1 in that a different approach was taken to ensure that participants were aware of the relevant comparison class and (dis)similarity range.10.3 - Pairwise Comparisons. While the results of a one-way between groups ANOVA will tell you if there is what is known as a main effect of the explanatory variable, the initial results will not tell you which groups are different from one another. In order to determine which groups are different from one another, a post-hoc test is needed.## ## Pairwise comparisons using t tests with pooled SD ## ## data: mood.gain and drug ## ## placebo anxifree ## anxifree 0.1502 - ## joyzepam 9.1e-05 0.0011 ## ## P value adjustment method: holm. As you can see, the biggest p-value (corresponding to the comparison between Anxifree and the placebo) is unaltered: at a value of .15, it is exactly ...We then pairwise compare concept-specific breakdowns using an LLM. We use the results of these pairwise comparisons to estimate a scale using the Bradley …2021. okt. 11. ... If the study includes three groups – A, B and C – up to three pairwise comparisons can be conducted in the form of hypothesis tests. And, if the ...It is a forced-choice pairwise comparison method, where in this case different patterns are evaluated two at a time by a panel of observers, and through a statistical method the different patterns are ranked in terms of perceptible effectiveness. McManamey (1999) describes in detail how the method is used. Oct 11, 2023 · A matrix or a data.frame object with comparisons' pair names as row names. The number of rows must be equal to a pairwise combination of n elements (see details). A numeric or character value designating which column to plot. The two extremes of a color gradient (default = c ("black", "white") ). Logical, whether to plot the legend or not.sklearn.metrics.pairwise_distances(X, Y=None, metric='euclidean', *, n_jobs=None, force_all_finite=True, **kwds) [source] ¶. Compute the distance matrix from a vector array X and optional Y. This method takes either a vector array or a distance matrix, and returns a distance matrix. If the input is a vector array, the distances are computed.The Method of Pairwise Comparisons Definition (The Method of Pairwise Comparisons) By themethod of pairwise comparisons, each voter ranks the candidates. Then,for every pair(for every possible two-way race) of candidates, Determine which one was preferred more often. That candidate gets 1 point. If there is a tie, each candidate gets 1/2 point.Pairwise comparisons can be performed as global alignments if it is known that the sequences are homologous in their full length or by local alignments if it is known that one sequence is shorter than the other. BLAST is the most frequently used bioinformatics program to compare your own sequence (query sequence) to all sequences in a database ...Description. c = multcompare (stats) returns a matrix c of the pairwise comparison results from a multiple comparison test using the information contained in the stats structure. multcompare also displays an interactive graph of the estimates and comparison intervals. Each group mean is represented by a symbol, and the interval is represented ...A Pairwise Comparison is the process of comparing candidates in pairs to judge which of each candidate is preferred overall. Each candidate is matched head-to-head (one-on-one) with each of the other candidates. Each candidate gets 1 point for a one-on-one win and half a point for a tie. The candidate with the most total points is the winner.An obvious way to proceed would be to do a t test of the difference between each group mean and each of the other group means. This procedure would lead to the six comparisons shown in Table 1. Table 1. Six Comparisons among Means. false vs felt. false vs miserable. false vs neutral.First of all, let's briefly touch on Pearson's correlation coefficient — commonly denoted as r. This coefficient can be used to quantify the linear relationship between two distributions (or features) in a single metric. It ranges from -1 to 1, -1 being a perfect negative correlation and +1 being a perfect positive correlation.The Pairwise Sequence Comparison (PASC) classification tool was created at the National Center for Biotechnology Information. The tool's database stores pairwise identities for complete genomes/segments of 56 virus families/groups. Data in the system are updated every day to reflect changes in virus taxonomy and additions of new virus sequences ...Sep 19, 2023 · Paired Comparison Method can be used in different situations. For example, when it’s unclear which priorities are important or when evaluation criteria are subjective in nature. The Paired Comparison Analysis also helps when potential options are competing with each other, because the most effective solution will be chosen in the end. Abstract. Pairwise comparison is any process of comparing entities in pairs to judge which of each entity is preferred, or has a greater amount of some quantitative property, or whether or not the two entities are identical. The method of pairwise comparisons is used in the scientific study of preferences, attitudes, voting systems, social ...19 de out. de 2022 ... The task of ranking individuals or teams, based on a set of comparisons between pairs, arises in various contexts, including sporting ...performs all pairwise comparisons using method KMS, described in Section 5.8, by default. Setting method='SK', method SK would be used. The argument r is a vector containing the number of successes and n contains the corresponding sample sizes. If the data are stored in m, say, where columns correspond to groups, and if the data consist of ...Pairwise comparisons have been a long-standing technique for comparing alternatives/criteria and their role has been pivotal in the development of modern decision-making methods. The evaluation is very often done linguistically. Several scales have been proposed to translate the linguistic evaluation into a quantitative evaluation. In this paper, we perform an experiment to investigate, under ...Jul 13, 2023 · A Pairwise Comparison is the process of comparing candidates in pairs to judge which of each candidate is preferred overall. Each candidate is matched head-to-head (one-on-one) with each of the other candidates. Each candidate gets 1 point for a one-on-one win and half a point for a tie. The candidate with the most total points is the winner. Pairwise Comparison. Pairwise comparison is the act of forming pairs with the goal of comparing them in some way. It's used for head to head comparisons. Each candidate is pitted against every other candidate with points awarded for a "win". The person/item with the most wins is declared the winner.Pairwise comparisons were conducted to compare prices between modalities and geographic regions. [8] In a pairwise comparison, the medians of glomerular filtration rate were statistically significantly lower after 12 months, 24 months, 36 months, 48 months after liver transplantation, than before liver transplantation. [9]Our approach for learning such a mapping, called ranking by pairwise comparison (RPC), first induces a binary preference relation from suitable training data using a natural extension of pairwise classification. A ranking is then derived from the preference relation thus obtained by means of a ranking procedure, whereby different ranking ...comparisons are absolute. Third, pairwise comparisons are more reliable and consistent than ratings, e.g. it is easier for a user to compare two items than assign scores to them. Algorithmically, learning preferences from rankings is more challenging, because the vectors of pairwise comparisons lie in a m 2-dimensionalOnly the lower triangle of the matrix of possible comparisons is being calculated, so setting alternative to anything other than "two.sided" requires that the levels of g are ordered sensibly. Value. Object of class "pairwise.htest" See Also. t.test, p.adjust. Examples经过L. L. Thurstone证明,pairwise算法最终剩下的测试case个数肯定相同,但是可以有不同的case组合。 2.2 Pairwise算法的效率. Pairwise算法和正交分析法进行比较,当有3个维度,每个维度有4个因子的时候: (1)正交分析法的case数量:4*4*4=64个 (2)Pairwise算法的case数量 ...Jul 14, 2021 · Pairwise Comparisons For this type of post-hoc analysis, you compare each of these mean differences (that you just calculated by subtracting one mean from another mean) to a critical value. What should you do if the calculated mean difference is further from zero (bigger) than the critical value? Pairwise comparison is a basic and simple strategy for entity resolution. For each pair of references ri and rj, we can compute the similarity score using one of the above …This chapter provides an overview of recent work on preference learning and ranking via pairwise classification. The learning by pairwise comparison (LPC) paradigm is the natural machine learning counterpart to the relational approach to preference modeling and decision making. From a machine learning point of view, LPC is especially appealing as it decomposes a possibly complex prediction ...After the F-test: pairwise comparisons. The rejection of the null hypothesis implies that at least one of the treatment means is different. However, that as such is not a very informative discovery, as still we do not know whether all treatment means are different from each other, or just a few of them are. To answer this more specific question ...When we have a statistically significant effect in ANOVA and an independent variable of more than two levels, we typically want to make follow-up comparisons. There are numerous methods for making pairwise comparisons and this tutorial will demonstrate...pairwise adjective [UK: peə(r) waɪz] [US: ˈper ˈwaɪz]. párosával ▽ ◼◻◻melléknév. comparison [comparisons] noun [UK: kəm.ˈpæ.rɪs.n̩] [US: kəm.ˈpe.rəs.n̩]The proposed pairwise comparison further allows an uncertain choice, which does not require a reinforce human opinion. To the best of our knowledge, this is the first implementation for underwater image subjective quality ranking, and a new approach to the image quality ranking for different image contents with unknown distortion level. ...Pairwise genome comparisons with ACT, the Artemis Comparison Tool. Artemis and ACT are free, interactive genome browsers [32, 40] (we used ACT 11.0.0 on Mac OS X). • Open the assembled E. coli O104:H4 contigs in Artemis and write out a single, concatenated sequence using File -> Write -> All Bases -> FASTA Format. • Generate a comparison file between the concatenated contigs and 2 ...Description The typical application of pairwise comparisons occurs when a researcher is examining more than two group means (i.e., the independent variable has more than two levels), and there is a statistically significant effect for the omnibus ANOVA.Jun 8, 2023 · When conducting n comparisons, αe≤ n αc therefore αc = αe/n. In other words, divide the experiment-wise level of significance by the number of multiple comparisons to get the comparison-wise level of significance. The Bonferroni procedure is based on computing confidence intervals for the differences between each possible pair of μ’s. Abstract. The Analytic Hierarchy Process (AHP) of Saaty (1980) is a widely used method for MCDA, presumably because it efcitates preference information from the decision makers in a manner which they find easy to understand. The basic step is the pairwise comparison of two so-called stimuli, two alternatives under a given criterion, for ...If the paired comparisons have been done for all the subset in Ω, we call it complete pairwise comparison, otherwise, we call it incomplete pairwise comparison. For complete pairwise comparison, we always get the pairwise comparison matrix that looks like Table 1 in which we give two alternatives as an example. It is supposed that experts only ...Pairwise comparisons. Stata has two commands for performing all pairwise comparisons of means and other margins across the levels of categorical variables. The pwmean command provides a simple syntax for computing all pairwise comparisons of means. After fitting a model with almost any estimation command, the pwcompare command can perform ...Pairwise Comparison isn’t just a theoretical concept; it’s a practical approach that can significantly impact procurement outcomes. This paper explores how Pairwise Comparison can be used for scoring mechanisms and weight setting in the context of procurement tendering evaluations. By understanding the nuances of this technique, you’ll ...Pairwise Sequence Comparison Evaluation Introduction Pairwise sequence comparison is the workhorse method of computational biology. There are several popular programs available for doing pairwise database sequence searches, like BLAST and FASTA.We would like to understand how well these methods perform relative to one another and in an absolute sense.• The pairwise p-values matrix shows which simultaneous intervals exclude zero, and at what significance levels, thereby allowing simple determinations of significance. • The program uses a new Version 7 ODS feature to specify that only the p-values and confidence limits for the pairwise comparisons should be displayed.Pairwise comparison of the means using the LSD procedure (minimum mean difference = 4.89) revealed that, consistent with the research hypothesis, more fish than reptiles were displayed on average and also more mammals than reptiles were displayed on average. However, contrary to the research hypothesis, therePairwise comparisons after a chi-squared goodness-of-fit test Description. Performs pairwise comparisons after a global chi-squared goodness-of-fit test. Usage chisq.multcomp(x, p.method = "fdr") Arguments. x: numeric vector (counts). p.method: method for p-values correction.First, get the t ratios: Calculate the unadjusted P values; these are twice the right-hand tail areas: These match the results from pairs (). Now, if we want a Bonferroni adjustment, we adjust these by multiplying by the number of tests: You can verify this using pairs (emm, adjust = "bonf") (results not shown).Pairwise comparisons across columns from two different data frames. Related. 3. R Compare all columns in a matrix against each in loop. 1. Perform pairwise comparison of matrix. 1. R loop matrix comparing whether the first column is the same as the other column. 0. R- Comparing rows in matrix for certain conditions. 1.This function is useful for generating and testing all pairwise comparisons of categorical terms in a linear model. This can be done in base R using functions like pairwise.t.test and TukeyHSD, but these functions are inconsistent both in their output format and their general approach to pairwise comparisons. pairwise () will return a ...Multiple comparisons take into account the number of comparisons in the family of comparisons. The significance level (alpha) applies to the entire family of comparisons. Similarly, the confidence level (usually 95%) applies to the entire family of intervals, and the multiplicity adjusted P values adjust each P value based on the number of ... In a complex group decision-making (GDM) process, decision makers (DMs) usually encounter some uncertainties. The uncertainty experienced by DMs could be characterized by the non-reciprocal property of pairwise comparisons. In this paper, the concept of non-reciprocal pairwise comparison matrices (NrPCMs) is introduced to generally capture the situation with the breaking of reciprocal property ...The typical application of pairwise comparisons occurs when a researcher is examining more than two group means (i.e., the independent variable has more than two levels), and there is a statistically significant effect for the omnibus ANOVA.The rejection of the omnibus null hypothesis merely indicates that there is a difference between two or more of the means but does not specify where the ...When we have a statistically significant effect in ANOVA and an independent variable of more than two levels, we typically want to make follow-up comparisons. There are numerous methods for making pairwise comparisons and this tutorial will demonstrate...Sorted by: 1. Yes, keep the overall test and then write that you conducted pairwise tests. I would do something like this (but I'd change the writing to relate it more to the data) "A Kruskal-Wallis test showed that at there was a significant difference of means (H = 18.047, p <0.001). I then conducted post hoc tests to test pairwise comparisons.Table 4 Probability P (E) that the multiple comparisons procedure rejects fewer primary hypotheses than unadjusted testing, for Scenario B (all three pairwise hypotheses are primary). Display Table Scenario A is different from the other three, since it is essentially a comparison of three different tests for the same hypothesis H 123 .independent pairwise comparisons is k(k-1)/2, where k is the number of conditions. If we had three conditions, this would work out as 3(3-1)/2 = 3, and these pairwise comparisons would be Gap 1 vs .Gap 2, Gap 1 vs. Gap 3, and Gap 2 vs. Grp3. Notice that the reference is to "independent" pairwise comparisons.Pairwise comparison. The residue by residue scores $W_{ij}$ can be used directly in the sequence alignment algorithm of Needleman & Wunsch [Needleman ...Performs pairwise comparisons between groups using the estimated marginal means. Pipe-friendly wrapper arround the functions emmans () + contrast () from the emmeans package, which need to be installed before using this function. This function is useful for performing post-hoc analyses following ANOVA/ANCOVA tests.Pairwise comparisons have been a long-standing technique for comparing alternatives/criteria and their role has been pivotal in the development of modern decision-making methods. The evaluation is very often done linguistically. Several scales have been proposed to translate the linguistic evaluation into a quantitative evaluation. In this paper, we perform an experiment to investigate, under ...Copeland's Method. In this method, each pair of candidates is compared, using all preferences to determine which of the two is more preferred. The more preferred candidate is awarded 1 point. If there is a tie, each candidate is awarded 12 1 2 point. After all pairwise comparisons are made, the candidate with the most points, and hence the ...Pairwise comparison of the criteria. While the sliders are being set, a ranking list appears below, in which the weighting of the individual criteria is displayed. Result of the pairwise comparison. The pairwise comparison is now complete! Regarding the math. This tool awards two point to to the more important criteria in the individual comparison.Use for multiple comparisons in ANOVA, the adjusted p-value indicates which factor level comparisons within a family of comparisons (hypothesis tests) are significantly different. If the adjusted p-value is less than alpha, then you reject the null hypothesis.pairwise fashion. Dunn's (1964) insight was to retain the rank sums from the omnibus test and to approximate a z-test statistic to the exact rank-sum statistic. Dunn's test is the appropriate procedure following a Kruskal-Wallis test. Making multiple pairwise comparisons following an omnibus test redefines the mean-B. Fusing rating and pairwise comparisons data It is useful in practice to aggregate quality scores obtained from different quality evaluation experiments, e.g., to create larger annotated datasets. While this aggregation of subjective quality scores is usually done for rating (i.e. mean opinion scores) [1], [2], [19] or pairwise comparisons ...Pairwise Sequence Alignment is used to identify regions of similarity that may indicate functional, structural and/or evolutionary relationships between two biological sequences (protein or nucleic acid).. By contrast, Multiple Sequence Alignment (MSA) is the alignment of three or more biological sequences of similar length. From the output of MSA applications, homology can be inferred and the ...Pairwise comparison, which has a long history in the social sciences , is an ideal question format for wiki surveys because it is amenable to the three criteria described above. Pairwise comparison can be greedy because the instrument can easily present as many (or as few) prompts as each respondent is willing to answer.So far none of our voting methods have satisfied the Condorcet Criterion. The Copeland Method specifically attempts to satisfy the Condorcet Criterion by looking …The learning by pairwise comparison (LPC) paradigm is the natural machine learning counterpart to the relational approach to preference modeling and decision making. From a machine learning point ...Keywords: Pairwise comparisons, Ranking, Set recovery, Approximate recovery, Borda count, Permutation-based models, Occam's razor 1. Introduction Ranking problems involve a collection of n items, and some unknown underlying total ordering of these items. In many applications, one may observe noisy comparisons between various pairs of items.performs all pairwise comparisons using method KMS, described in Section 5.8, by default. Setting method='SK', method SK would be used. The argument r is a vector containing the number of successes and n contains the corresponding sample sizes. If the data are stored in m, say, where columns correspond to groups, and if the data consist of ...Hereinafter, it is assumed that all pairwise comparisons matrices are reciprocal. Let's call a pairwise comparisons method any decision-making method that involves pairwise comparisons, and let prioritization method (a priority deriving method) be any procedure that derives a priority vector w = (w 1, …, w n) (vector of weights of all n compared objects) from a n × n PC matrix.Nov 23, 2022 · The post How to do Pairwise Comparisons in R? appeared first on Data Science Tutorials What do you have to lose?. Check out Data Science tutorials here Data Science Tutorials. How to do Pairwise Comparisons in R, To evaluate if there is a statistically significant difference between the means of three or more independent …CGCoT effectively shifts pairwise text comparisons from a reasoning problem to a pattern recognition problem. We then pairwise compare concept-specific breakdowns using an LLM. We use the results of these pairwise comparisons to estimate a scale using the Bradley-Terry model. We use this approach to scale affective speech on Twitter.Jan 22, 2021 · Comparing points to centroids. In both clustering and classification, it can be useful to compare individual points to the class means for a set of points. These class mean values are called centroids and they are themselves points, which means the comparison is a pairwise operation. Creating cost matrices for bipartite assignment. Pairwise comparisons have been a long-standing technique for comparing alternatives/criteria and their role has been pivotal in the development of modern decision-making methods. The evaluation is very often done linguistically. Several scales have been proposed to translate the linguistic evaluation into a quantitative evaluation. In this paper, we perform an experiment to investigate, under ...The main requirement is a function that facilitates doing all the pairwise comparison along with options that allow you to control different error rate.

Pairwise comparison is a key ingredient in multi-criteria decision analysis. The method is based on a set of comparisons conducted by a group of experts, comparing all possible pairs of alternatives involved in the decision process. The outcome is the estimation of weights determining the ranking of alternatives. In this paper, we introduce a new framework for the incorporation of confidence .... Parking lot 61

pairwise comparison

Research design can be daunting for all types of researchers. At its heart it might be described as a formalized approach toward problem solving, thinking, and acquiring knowledge—the success of which depends upon clearly defined objectives and appropriate choice of statistical tools, tests, and analysis to meet a project's objectives.Ada tiga macam teknik penyusunan skala yang dikembangkan, yaitu : 1) metode perbandingan pasangan (paired comparisons) 2) Metode interval tampak sama (equal appearing intervals ) 3) metode interval suksesif. Ketiga metode tersebut menggunakan pendapat ( judgment) dari suatu kelompok panel pendapat, mengenai seberapa dukungan terhadap beberapa ... About this book. This book focuses on all-pairwise multiple comparisons of means in multi-sample models, introducing closed testing procedures based on maximum absolute values of some two-sample t-test statistics and on F-test statistics in homoscedastic multi-sample models. It shows that (1) the multi-step procedures are more powerful than ...Performs pairwise comparisons between groups using the estimated marginal means. Pipe-friendly wrapper arround the functions emmans () + contrast () from the emmeans package, which need to be installed before using this function. This function is useful for performing post-hoc analyses following ANOVA/ANCOVA tests.Pairwise comparison generally is any process of comparing entities in pairs to judge which of each entity is preferred, or has a greater amount of some quantitative property, or whether or not the two entities are identical.The method of pairwise comparison is used in the scientific study of preferences, attitudes, voting systems, social choice, public choice, requirements engineering and ...The results of the pairwise comparison of different criteria are arranged in a matrix as illustrated in Figure 4. After the construction of the pairwise comparison matrix, the next step is to ...One of my students faces this problem in SPSS 26.0: When he runs Kruskal-Wallis test, the Output does not offer him access to the Model Viewer (where the pairwise comparison etc. would be available).In this example, we will show you how to aggregate pairwise comparisons using the Bradley-Terry model and its variation available in Crowd-Kit. Crowd-Kit is an open-source computational quality control library that can be used to implement various quality control methods like aggregation, uncertainty, agreements, and more.The Tukey procedure explained above is valid only with equal sample sizes for each treatment level. In the presence of unequal sample sizes, more appropriate is the Tukey-Cramer Method, which calculates the standard deviation for each pairwise comparison separately. This method is available in SAS, R, and most other statistical software.Ada tiga macam teknik penyusunan skala yang dikembangkan, yaitu : 1) metode perbandingan pasangan (paired comparisons) 2) Metode interval tampak sama (equal appearing intervals ) 3) metode interval suksesif. Ketiga metode tersebut menggunakan pendapat ( judgment) dari suatu kelompok panel pendapat, mengenai seberapa dukungan terhadap beberapa ...In this video, I will explain how to use syntax to output pairwise comparisons tables for interaction analysis. This is done in Factorial / Two-Way ANOVA usi...The pairwise comparison method is a decision-making tool used to evaluate and prioritize multiple options by comparing each possible pair and assigning a numerical value for each. By understanding the basics, you'll be better equipped to use the method to evaluate alternatives and make informed decisions. 2. Identify Your Decision Criteria.The pairwise comparison of the depth*hour interaction term is what I need to see which hours have significantly different temperatures between top and bottom. This worked out well but someone pointed out that since it is a repeated measure it does not satisfy the assumption of independence. Therefore I tried using a linear mixed model.The main requirement is a function that facilitates doing all the pairwise comparison along with options that allow you to control different error rate.Introduction In [17], Thurstone proposed ''The Law of Comparative Judgments'' for pairwise comparisons (for short, PC). However, the first use of pairwise comparisons is in [5]). Even earlier use of PC is published in [3], but in a more simplified way for voting (win or loss). The PC theory finds a lot of applications, for example ...Multiple pairwise comparison tests on tidy data for one-way analysis of variance for both between-subjects and within-subjects designs. Currently, it supports only the most common types of statistical analyses and tests: parametric (Welch's and Student's t-test), nonparametric (Durbin-Conover and Dunn test), robust (Yuen<e2><80><99>s trimmed means test), and Bayes Factor (Student's t-test).Figure 1 - Pairwise MW tests. Note that cell AN6 contains the formula =MWTEST (B4:B13,C4:C13) and cell AN12 (for the exact test) contains the worksheet formula =MW_EXACT (B4:B13,C4:C13). Following either of these tests, the Multiple Test data analysis tool can be used to determine which pairwise comparisons are significant. A number of ....

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